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Finding the Fourth Proportional to 100,165.13, 138,227.40 and 54,224.81

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Solution

The fourth proportional to 100,165.13, 138,227.40 and 54,224.81 is: 74,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,165.13 : 138,227.40 = 54,224.81 : x
  2. Step 2: Convert to fraction form
    100,165.13/138,227.40 = 54,224.81/x
  3. Step 3: Cross multiply
    100,165.13x = 138,227.40 × 54,224.81
  4. Step 4: Simplify right side
    100,165.13x = 7,495,353,810.66
  5. Step 5: Solve for x
    x = 7,495,353,810.66/100,165.13
  6. Step 6: Final answer
    x = 74,829.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.